102102021013 has 2 divisors, whose sum is σ = 102102021014. Its totient is φ = 102102021012.

The previous prime is 102102020981. The next prime is 102102021019. The reversal of 102102021013 is 310120201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68991851569 + 33110169444 = 262663^2 + 181962^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102021013 - 2⁵ = 102102020981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102102020984 and 102102021002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102102021019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051010506 + 51051010507.

It is an arithmetic number, because the mean of its divisors is an integer number (51051010507).

Almost surely, 2^102102021013 is an apocalyptic number.

It is an amenable number.

102102021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102021013 is an equidigital number, since it uses as much as digits as its factorization.

102102021013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102102021013 its reverse (310120201201), we get a palindrome (412222222214).

The spelling of 102102021013 in words is "one hundred two billion, one hundred two million, twenty-one thousand, thirteen".